Textures won't show up when I render an animation
This is because you have a scene strip above your rendered image sequence, which will display the same thing as the default viewport in solid shading (no textures), unless you set it to something else like textured or rendered (rendered will be very slow because it has to render each frame. You also have to disable openGL preview for rendered to work):



However, assuming the image sequence below it is the rendered animation, then you can just remove the scene strip.